(Grade 11) Section 2.2 - Factoring Polynomials: Common Factoring

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(Grade 11) Section 2.2 - Factoring Polynomials: Common Factoring

Complete the following questions


Questions and Answers
  • 1. 
    What is the greatest common factor of the polynomial 8x+14x–32?
    • A. 

      2x

    • B. 

      2

    • C. 

      4

    • D. 

      8

  • 2. 
    Name the greatest common factor of the terms of the binomial –24x2–18x
    • A. 

      –6x

    • B. 

      –8x

    • C. 

      2x

    • D. 

      6

  • 3. 
    Which shows the polynomial fully factored? 35x2 – 14x
    • A. 

      –7x(5x + 2)

    • B. 

      7(5x^2–2x)

    • C. 

      7(5x–2x)

    • D. 

      7x(5x–2)

  • 4. 
    Which shows the polynomial fully factored? 2x(4x–3) – 5(4x – 3)
    • A. 

      (4x – 3)(2x+5)

    • B. 

      (8x^2–6x)–(20x–15)

    • C. 

      (4x–3)(2x–5)

    • D. 

      –10x(4x–3)

  • 5. 
    Which shows the missing factor? 12b2 – 72b = 12(?)
    • A. 

      B^2 – 6b

    • B. 

      –b + 6

    • C. 

      6b

    • D. 

      B – 6

  • 6. 
    A parallelogram has a height of x+3 and an area of 25x2+75x.  What is the measure of the base?
    • A. 

      5x^2

    • B. 

      25x

    • C. 

      X+25

    • D. 

      25

  • 7. 
    A square has an area of 25x2 + 9.  What is the measure of one side of the square?
    • A. 

      X+3

    • B. 

      5x+1

    • C. 

      5x+3

    • D. 

      5x+9

  • 8. 
    Kevin is designing a label for a can.  The height of the label is 5cm.  If the area of the label is 10n2+20n–5, how long is the label?
    • A. 

      2n^2+4n–1

    • B. 

      N^2+2n–1

    • C. 

      2n^2–4n+1

    • D. 

      2n^2+5n–1

  • 9. 
    The formula for the surface area of a sphere is SA = 4πr2.  If the surface area of the sphere is 4πx^2–8πx+4π, what is the measure of the radius?
    • A. 

      X+1

    • B. 

      2x–1

    • C. 

      X–2

    • D. 

      X–1